![]() What is the equation of the parabola?įirst note that you have P = 3, Q = 6, and R = 4. The focus of a parabola is at (3, 6) and the directrix line is Y = 4. Now that you have the three values of A, H, and K, you can write the equation of the parabola. The inverse of the scaling constant A is 4 times the difference between the height of the focus and the height of the vertex. Since the vertex of the parabola is halfway between the focus and directrix, the x-coordinate of the vertex is P, and the y-coordinate is (Q+R)/2. The coordinate pair (H, K) is the vertex of the parabola. Formulas Used in the Calculator The equation of a parabola whose vertex is. ![]() Given the values of P, Q, and R, we want to find three constants A, H, and K such that the equation of the parabola can be written as Find equation of a parabola given 2 points calculator Step 1: use the (known). Step 1Ĭall the focus coordinates (P, Q) and the directrix line Y = R. You can follow the steps below, or use the calculator on the left to find the parabola's equation. If you know the coordinates of the focus and the equation of the directrix, you can use this information to deduce the equation of the parabola. Some of the important terms below are helpful to understand the features and parts of a parabola. The standard equation of a regular parabola is y 2 4ax. Each point on the parabola is equidistant from the focus and directrix. Parabola Equation The general equation of a parabola is: y a (x-h) 2 + k or x a (y-k) 2 +h, where (h,k) denotes the vertex. Parabola Calculator (y = ax² + bx + c) Directrix: y = Focus: (, )Įvery parabola has a point inside the curve called the focus and a line outside the curve called the directrix.
0 Comments
Leave a Reply. |